Cups A and B are cone shaped and have heights of #12 cm# and #15 cm# and openings with radii of #5 cm# and #8 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

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Answer 1 · 2017-04-06T00:17:50

You must find the volume of each cup

Cup A Area

#V=πr^2 h/3#
#V=π5^2 12/3#
#V=π25*4#
#V=78.539*4#
#V=78.539*4#
#V = 314.156cm^3#

Cup B Area

#V=π8^2 15/3#
#V=π64 *5#
#V=201.062 *5#
#V= 1008.01cm^3#

Therefore, Cup A will overflow as the volume or how much water cup B contains is more than the volume of Cup A